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Finding the Fourth Proportional to 120.32, 179.32 and 118.16

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Solution

The fourth proportional to 120.32, 179.32 and 118.16 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.32 : 179.32 = 118.16 : x
  2. Step 2: Convert to fraction form
    120.32/179.32 = 118.16/x
  3. Step 3: Cross multiply
    120.32x = 179.32 × 118.16
  4. Step 4: Simplify right side
    120.32x = 21,188.45
  5. Step 5: Solve for x
    x = 21,188.45/120.32
  6. Step 6: Final answer
    x = 176.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.